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State and prove Arzela Ascoli theorem?

I will give a link that explains and proves the theorem.


State and prove fundamental theorem of cyclic groups?

..?


Prove fundamental theorem of integral calculus?

The link has the answer to your question. http://www.sosmath.com/calculus/integ/integ03/integ03.html


State and prove morera's theorem proving necessary results?

Morera's Theorem states that if a continuous function ( f ) defined on a domain ( D \subseteq \mathbb{C} ) is such that the integral of ( f ) over every closed curve in ( D ) is zero, then ( f ) is holomorphic on ( D ). To prove this, we utilize the fact that if ( f ) is continuous and the integral over every closed curve is zero, we can approximate ( f ) using a partition of unity and apply Cauchy's integral theorem. Thus, by demonstrating that the integral of ( f ) over any disk can be expressed as a limit of integrals over closed curves, we establish that ( f ) is differentiable, confirming that ( f ) is indeed holomorphic.


Can a corollary be used to prove a theorem?

Yes, the corollary to one theorem can be used to prove another theorem.


How do you find the standard form after you have used the De Moivre's theorem?

(cos0 + i sin0) m = (cosm0 + i sinm0)


How do you prove theorem 3.6.1?

Theorem 8.11 in what book?


How do you solve a remainder theorem?

You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.


What theorem can you use to prove that AEB is congruent to CED?

asa theorem


What elements are necessary for a geometric proof?

A theorem to prove. A series of logical statements. A series of reasons for the statements. answer theorem to prove


What theorem is used to prove a segment is a bisector?

A segment need not be a bisector. No theorem can be used to prove something that may not be true!


How do you use theorem to prove statements?

To use a theorem to prove statements, you first need to identify the relevant theorem that applies to the situation at hand. Next, you clearly state the hypotheses of the theorem and verify that they hold true for your specific case. Then, you apply the theorem's conclusion to derive the desired result, ensuring that each step in your argument logically follows from the theorem and any established definitions or previously proven results. Finally, you summarize how the theorem provides the necessary justification for your statement.